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Calculate the first-order correction to the energy of a ground-state harmonic oscillator subject to an anharmonic potential of the form ax3 +bx4 where a and b are small (anharmonicity) constants. Consider the three cases in which the anharmonic perturbation is present
(a) during bond expansion (x ≤ 0) and compression (x ≥ 0),
(b) during expansion only,
(c) during compression only.
The two flows become fully mixed downstream, where V3 is approximately constant. For steady incompressible flow, compute V3.
water flows steadily through a horizontal fire hose and nozzle. the hose is 75 mm inside diameter and the nozzle tip is
The mass m slides into the stepped elastic bar with the velocity v. Derive the expression for the maximum dynamic stress in the bar.
we are separating ethanol and water. all percentages are mol. find the q values and plot the feed lines. a feed is 60
determine the power produced by a simple sprinkler-like turbine that rotates in a horizontal plane at 500 rpm. the
What primary factors determine the number of load cycles required to break a bolt subject to fatigue loading? Describe the appearance of the break surface of a bolt which has failed in fatigue ?
the aluminum shade for the small high intensity lamp has a uniform thickness of 1mm. Knowing that the density of aluminum is 2800 kg/m^3, determine the mass of the shade.
the constant tensions of 200 n and 160 n are applied to the hoisting cable as shown. if the velocity v of the load is
Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
The available bandwidth in a cluster is 1.25MHz. Find the number of channels per cell for the following systems:
a 25-cm diameter oil line is buried with its centerline 60 cm below the ground. assuming a soil temperature of 10
a composite wall made up of two materials. the temperatures on the left and right faces are maintained at constant
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